The more I look at it, the more I feel it is not that big of a find. No number below the highlighted diagonal effects the values of that diagonal. Still, an interesting way of representing the build of the series.

@MatheMagician, as per my previous comment, the numbers below the series along the long diagonal can be removed (they are not used in the construction of the series). This will result in a triangle of hexagons where the values of the top row of hexagons are set to one and the rest are determined by them.

Requests for any methods not provided that may be helpful are welcome. I cannot, however, guarantee that they will be implemented. Thanks.